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Finding the Third Proportional to 35,812.13 and 46,094.06

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Solution

The third proportional to 35,812.13 and 46,094.06 is: 59,328.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,812.13 : 46,094.06 = 46,094.06 : x
  2. Step 2: Convert to fraction form
    35,812.13/46,094.06 = 46,094.06/x
  3. Step 3: Cross multiply
    35,812.13x = 46,094.06 × 46,094.06
  4. Step 4: Simplify right side
    35,812.13x = 2,124,662,597.75
  5. Step 5: Solve for x
    x = 2,124,662,597.75/35,812.13
  6. Step 6: Final answer
    x = 59,328.02

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.